-LRB- CNN -RRB- -- A Sudanese Christian woman who was sentenced to die for refusing to renounce her faith -- and then released -- has been charged on two criminal counts after trying to leave the African country for the United States , her legal team said Wednesday .

Meriam Yehya Ibrahim , who was detained with her American husband , Daniel Wani , and their two children at an airport in Khartoum on Tuesday , is accused of traveling with falsified documents and giving false information , according to her legal team .

The family is currently being held in a Khartoum police station and has been refused bail .

Ibrahim 's legal team told CNN that Daniel Wani is being held as an accessory .

The family was stopped at the airport after what Ibrahim 's lawyers described Tuesday as an alleged `` irregularity with her documentation . ''

Ibrahim has a U.S. visa and was headed to the United States with her family , her legal team said .

The U.S. State Department said Tuesday that Ibrahim and her family had been `` temporarily detained at the airport '' for questioning over issues relating to their travel and documentation .

`` They have not been arrested . The government has assured us of their safety , '' U.S. State Department spokeswoman Marie Harf said then .

Harf said that the U.S. Embassy `` has been and will remain highly involved in working with the family and the government , '' saying `` we are engaging directly with Sudanese officials to secure their safe and swift departure from Sudan . ''

Sudanese authorities said Ibrahim had been detained because of the documents she submitted .

Sudan 's National Intelligence and Security Services said that she had South Sudanese travel documents , despite not being a citizen of South Sudan , and she was heading to the United States , which is not her native country .

`` This was considered illegal by the Sudanese authorities , who have summoned both the U.S. and South Sudanese ambassadors , '' the agency said in a message posted on its media Facebook page early Wednesday .

The airport detention came a day after Ibrahim 's legal team announced the 27-year-old woman had been released from prison after weeks of international controversy over her conviction on apostasy and adultery charges .

According to her lawyer , the case began when one of Ibrahim 's relatives , a Muslim , filed a criminal complaint saying her family was shocked to find out she had married Wani , a Christian , after she was missing for several years .

The Sudanese court considered Ibrahim a Muslim because her father was Muslim , but she said she was a Christian and never practiced Islam . She was charged with adultery , because a Muslim woman 's marriage to a Christian man is illegal in Sudan , and with apostasy , accused of illegally renouncing what was alleged to be her original faith .

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Meriam Yehya Ibrahim faces criminal charges after being stopped at Khartoum airport

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She is accused of traveling with falsified documents and giving false information

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Sudanese authorities summon the U.S. and South Sudanese ambassadors

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Ibrahim had been sentenced to death for apostasy , then released on appeal